Is 1031 a prime number?

1 031 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 1 031 is about 32.109.

Thus, the square root of 1 031 is not an integer, and therefore 1 031 is not a square number.

Anyway, 1 031 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 1 031) is the result of the product of this number (1 031) by itself (i.e., 1 031 × 1 031); the square of 1 031 is sometimes called "raising 1 031 to the power 2", or "1 031 squared".

The square of 1 031 is 1 062 961 because 1 031 × 1 031 = 1 031² = 1 062 961.

As a consequence, 1 031 is the square root of 1 062 961.

1 031 is a number with 4 digits.

The multiples of 1 031 are all integers evenly divisible by 1 031, that is all numbers such that the remainder of the division by 1 031 is zero. There are infinitely many multiples of 1 031. The smallest multiples of 1 031 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1 031 too, since 0 × 1 031 = 0
• 1 031: indeed, 1 031 is a multiple of itself, since 1 031 is evenly divisible by 1 031 (we have 1 031 / 1 031 = 1, so the remainder of this division is indeed zero)
• 2 062: indeed, 2 062 = 1 031 × 2
• 3 093: indeed, 3 093 = 1 031 × 3
• 4 124: indeed, 4 124 = 1 031 × 4
• 5 155: indeed, 5 155 = 1 031 × 5
• etc.

• Preceding numbers: …1 029, 1 030
• Following numbers: 1 032, 1 033…

Nearest numbers from 1 031

• Preceding prime number: 1 021
• Following prime number: 1 033

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• 1 031 est-il un nombre premier ?